Analytic Normal Form for CR Singular Surfaces in C 3

@inproceedings{Coffman2004AnalyticNF,
  title={Analytic Normal Form for CR Singular Surfaces in C 3},
  author={Adam Coffman},
  year={2004}
}
A real analytic surface inside complex 3-space with an isolated, nondegenerate complex tangent is shown to be biholomorphically equivalent to a fixed real algebraic variety. The analyticity of the normalizing transformation is proved using a rapid convergence argument. Real surfaces in higher dimensions are also shown to have an algebraic normal form. 1 2